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V125BC [204]
3 years ago
7

Simplify and combine like terms 4(x−2)+2(x+1)

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:6x -6

Step-by-step explanation:

4 times x and 4 x -2 4x -8

2 times x and 2 x 1 2x +2

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In your own words, define each of the following terms. 
Leya [2.2K]
A. Whole number- a number that is whole, with no decimals or extra signs or variables next to or part of it. 

b. Digit- a number from 0-9 is a digit. 

c. The position a number has in a larger number. ex. Hundreds, Tens, and One's place

d. A number rounded to a whole number. Either to a smaller or larger to make it whole and easier to understand. 

e. Equals: Numbers that equal each other. 

I hope this helps you.

Brainliest answer would be appreciated!

6 0
3 years ago
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State what additional information is required in order to know that the triangles are congruent for the reason given. If possibl
earnstyle [38]

Answer:

  • XY ≅ TU

Step-by-step explanation:

SAS  =  side- angle- side

It requires two sides and the included angle be congruent.

Given one congruent side and one congruent adjacent angle.

<u>In addition to what is given we need the other side be congruent too:</u>

  • XY ≅ TU
8 0
3 years ago
Read 2 more answers
I will give Brainliest!!
sergey [27]

The value of y in the triangle is 6°.

<h3>How to calculate the value of y in the triangle?</h3>

Firstly, it's important to note that a triangle has the total angles of 180°.

Based on the information, the triangle has interior angle measures of 11y, 10y + 10°, and 10y - 16º.

The value of y in the triangle will be illustrated thus:

11y + 10y + 10 + 10y - 16 = 180

31y - 6 = 180

31y = 180 + 6.

31y = 186

Divide.

y = 186 / 31

y = 6

The value of y is 6.

Learn more about triangles on:

brainly.com/question/17335144

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5 0
1 year ago
An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object i
natima [27]

Answer:

Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.

Step-by-step explanation:

Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:

πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.

But, it is given that the circular speed of the object is 90π inches per minute. So,

90π = 15πr

r = 6 inches

Since, diameter is the double of radius, d = 2r = 12 inches.

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4 0
2 years ago
A radio telescope has a parabolic surface, as shown below.
krek1111 [17]
OK, so the graph is a parabola, with points x=0,y=0; x=6,y=-9; and x=12,y=0

Because the roots of the equation are 0 and 12, we know the formula is therefore of the form

y = ax(x - 12), for some a

So put in x = 6

-9 = 6a(-6)

9 = 36a

a = 1/4

So the parabola has a curve y = x(x-12) / 4, which can also be written y = 0.25x² - 3x

The gradient of this is dy/dx = 0.5x - 3

The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8

Gradient of the parabolic mirror at x = 4 is -1

So the gradient of the normal to the mirror at x = 4 is therefore 1.

Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.

So the focal point is at y = -8, i.e. 1 metre above the back of the dish.
5 0
2 years ago
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